(z²-x²-y²)²-4x²y²分解因式 x的4次方-5x²+4分解因式
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(z²-x²-y²)²-4x²y²
=(z²-x²-y²)²-（2xy)²
=(z²-x²-y²+2xy)(z²-x²-y²-2xy)
=(z²-(x-y)²)(z²-(x+y)²)
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)
x的4次方-5x²+4
=(x²-1)(x²-4)
=(x+1)(x-1)(x+2)(x-2)
=(z²-x²-y²)²-（2xy)²
=(z²-x²-y²+2xy)(z²-x²-y²-2xy)
=(z²-(x-y)²)(z²-(x+y)²)
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)
x的4次方-5x²+4
=(x²-1)(x²-4)
=(x+1)(x-1)(x+2)(x-2)
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(z²-x²-y²)²-4x²y²
=(z²-x²-y²+2xy)(z²-x²-y²-2xy)
=[z²-(x-y)²][z²-(x+y)²]
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)
x的4次方-5x²+4
=(x²-1)(x²-4)
=(x+1)(x-1)(x+2)(x-2)
=(z²-x²-y²+2xy)(z²-x²-y²-2xy)
=[z²-(x-y)²][z²-(x+y)²]
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)
x的4次方-5x²+4
=(x²-1)(x²-4)
=(x+1)(x-1)(x+2)(x-2)
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(z²-x²-y²)²-4x²y²
＝（z²-x²-y²+2xy)(z²-x²-y²-2xy)
={z²-(x-y)²}{z²-(x+y)²}
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)
x^4-5x²+4
=(x²-4)(x²-1)
=(x+2)(x-2)(x+1)(x-1)
＝（z²-x²-y²+2xy)(z²-x²-y²-2xy)
={z²-(x-y)²}{z²-(x+y)²}
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)
x^4-5x²+4
=(x²-4)(x²-1)
=(x+2)(x-2)(x+1)(x-1)
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